Bar constructions for topological operads and the Goodwillie derivatives of the identity.
Base change functors in the -stable homotopy category.
Basic constructions in rational homotopy theory of function spaces
Via the Bousfield-Gugenheim realization functor, and starting from the Brown-Szczarba model of a function space, we give a functorial framework to describe basic objects and maps concerning the rational homotopy type of function spaces and its path components.
Batalin-Vilkovisky algebra structures on Hochschild cohomology
Let be any compact simply-connected oriented -dimensional smooth manifold and let be any field. We show that the Gerstenhaber algebra structure on the Hochschild cohomology on the singular cochains of , , extends to a Batalin-Vilkovisky algebra. Such Batalin-Vilkovisky algebra was conjectured to exist and is expected to be isomorphic to the Batalin-Vilkovisky algebra on the free loop space homology on , introduced by Chas and Sullivan. We also show that the negative cyclic cohomology ...
Bemerkungen zur Borel-Moore-Homologie.
Bimorphisms in pro-homotopy and proper homotopy
A morphism of a category which is simultaneously an epimorphism and a monomorphism is called a bimorphism. The category is balanced if every bimorphism is an isomorphism. In the paper properties of bimorphisms of several categories are discussed (pro-homotopy, shape, proper homotopy) and the question of those categories being balanced is raised. Our most interesting result is that a bimorphism f:X → Y of is an isomorphism if Y is movable. Recall that is the full subcategory of consisting of...
Boardman's Category and the Process of Categorical Stabilization.
Boolean algebras in algebraic topology.
Borel fibrations and G-spaces.
Borsuk's quasi-equivalence is not transitive
Borsuk's quasi-equivalence relation on the class of all compacta is considered. The open problem concerning transitivity of this relation is solved in the negative. Namely, three continua X, Y and Z lying in ℝ³ are constructed such that X is quasi-equivalent to Y and Y is quasi-equivalent to Z, while X is not quasi-equivalent to Z.
Borsuk's Theory of Shape and Cech Homotopy.
Brown-Peterson spectra in stable -homotopy theory
BSJ does not map correctly into BSF Mod 2.